1745830016 has 48 divisors (see below), whose sum is σ = 4045875390. Its totient is φ = 748210176.

The previous prime is 1745830013. The next prime is 1745830027. The reversal of 1745830016 is 6100385471.

It can be written as a sum of positive squares in only one way, i.e., 1740558400 + 5271616 = 41720^2 + 2296^2 .

It is not an unprimeable number, because it can be changed into a prime (1745830013) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 132905 + ... + 145448.

Almost surely, 2^1745830016 is an apocalyptic number.

1745830016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1745830016 is an abundant number, since it is smaller than the sum of its proper divisors (2300045374).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1745830016 is an equidigital number, since it uses as much as digits as its factorization.

1745830016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278381 (or 278362 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 1745830016 is about 41783.1307587165. The cubic root of 1745830016 is about 1204.1132037060.

It can be divided in two parts, 17458 and 30016, that added together give a palindrome (47474).

The spelling of 1745830016 in words is "one billion, seven hundred forty-five million, eight hundred thirty thousand, sixteen".